Consider the following functions. f,(x) = x, f,(x) = x², f,(x) = 5x - 4x² g(x) = c,f,(x) + C2f2(x) + czf3(x) Solve for c,, c,, and c, so that g(x) = 0 on the interval (-o, o). If a nontrivial solution exists, state it. (If only the trivial solution exists, enter the trivial solution {0, 0, 0}.) {C,, C2, C3} = Determine whether f, f, fa are linearly independent on the interval (-0, o). O linearly dependent O linearly independent

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A: Question 4: The graph of the function is shown as:   y = - 3 x4

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Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: